Mathematics at Woodcroft Primary School

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1 Mathematics at Woodcroft Primary School Maths in the Early Years Foundation Stage: In Nursery and Reception they follow the Development Matters and Early Years Learning Goals. Maths is taught in a variety of ways. In Reception there is a maths activity undertaken everyday with whole class oral starter and focus tasks twice a week. Children are also taught maths through hands on practical activities and play in both indoor and outdoor situations. Maths in Key Stage 1 and Key Stage 2 In Key Stage 1 and Key Stage 2, pupils follow the key objectives recommended in the National Numeracy Strategy. In both key stages every class has a focussed whole class maths lesson every day. Our teaching and learning approach within a week, follows a model of three day learning a mathematical concept and necessary skills, methods and strategies to solve, followed by a two day using and applying in a variety of contexts. These could include, applying knowledge to practical activities, problem solving challenges, investigations and logic/reasoning puzzles. We also encourage Maths to be used in other subjects across the curriculum, such as Science, D.T. and some topic areas. Across the different phases with in school, there is an emphasis on the teaching and learning of key maths vocabulary which is age appropriate and context specific. Also ICT is used effectively to support and develop maths knowledge and understanding, and skills both in school and at home. All children are encouraged and have access to Mathletics to be used at home and in school.

2 END OF YEAR EXPECTATIONS FROM RECEPTION TO YEAR 6 BASED ON THE NEW NATIONAL CURRICULUM End of Year Expectations for EYFS Count reliably to 20 Use more/less to compare numbers Find one more/less than, numbers to 20 Know vocabulary of addition/subtraction Know adding is combining 2 groups and subtraction is taking away. Know to solve +/- by counting on and counting back Solve problems of doubling/halving and sharing Shape, Space and Measure Recognise and describe patterns Use everyday language about size, weight, capacity, position, distance, time and money. Explore characteristics of everyday objects and shapes. Use mathematical language of shapes.

3 End of Year Expectations for Year 1 Count reliably from 0 to 100 Count on/back from a given number Count in 1, 2, 5 and 10s. Read/Write numerals to 100 Recognise odd and even numbers Identify a one more and one less from a given number. Read/write numbers to 20 in words. Use/Know vocabulary of add/subtract, equal to, most and least. Recognise multiplication and division symbols Solve problems of multiplications and division with support Recognise, name and write- ½, ¼ and ¾ Find ½, ¼ and ¾ of a shape and quantity Geometry and Measure Recognise and name common 3-D and 2- D shapes. Describe position, direction and movements Compare, measure and record using standard units of measure - m, cm g, kg l - litres hours, minutes, seconds Solve practical problems of length, mass, capacity and time. Recognise and use and p. Tell time to hour and half past hour Sequence events in chronological order Recognise and use vocabulary of days of week, weeks, months and years.

4 End of Year Expectations for Year 2 Read/Write numbers to 100 in numerals and words Recognise place value of a 2 digit number Count in 2,3,5 and 10s Know 10 more/less from a given number Compare and order numbers using <, >, = Know additions and subtractions facts to 20 Add/subtract up to 2 digits including column method with no carrying or borrowing Add/subtract mentally Subtract using take away and find the difference Recall multiplication and division facts for 2,5 and 10 Use signs for multiplication/division Solve word and number problems using place value and four operations. Recognise, name and write ¼, 1/3, ½ and ¾ Count halves and quarters to 10 Geometry and Measure Recognise and name common 2D and 3D shapes Identify and describe properties of 2D shapes sides, right angles and lines of symmetry. Identify and describe properties of 3D shapes edges, faces and vertices Identify 2D shapes in 3D shapes Use mathematical vocabulary to describe position, direction and movement Choose and use appropriate standard units of measure to estimate and measure m,/cm/mm kg/g litres/ml Compare measures and record using <, > and = Read scales Tell and write time to quarter past/to the hour and 5 minute Use vocabulary of time morning, afternoon and night Recognise and p, coins and notes of different values Combine amount to make a value using a combination of coins Add/subtract money Data Construct and interpret pictograms, tables and simple graphs.

5 End of Year Expectations for Year 3 Read and write numbers to at least 1000 in numerals and words Recognise place value of 3-digit number Compare and order numbers to 1000 Count in multiples of 2,3,4,5,8,10,50 and 100 from 0 Give 10 or 100 more/less from a given number Add/subtract number up to 3- digits, including column methods Accurately add/subtract mentally including pairs of 1 digit, 2 digit and 3 digit numbers. Recall and use multiplication/division facts for 2,3,4,5,8 and 10 Write and calculate statements with the times tables Using mental and written methods to solve - 2 digit x 1 digit Solve simple and complex word problems using the four operations, including missing number problems Identify, name and write fractions up to 1/12 Compare and order fractions with same denominator Recognise fractions that are equal to 1 Add/Subtract fractions with same denominator Count up and down in tenths Recognise that 1/10s arise by dividing by 10 Divide an object and single digit number or quantities by 10 Geometry and Measure Make 2-D and 3-D shapes Recognise different orientations Recognise angles and associate angle as a turn Identify right angles and two right angle equals half a turn, four right angles is a full turn Identify if angles are greater or less than a right angle identify horizontal, vertical, perpendicular, parallel and curved lines use a compass to draw circles and arcs with a given radius Recognise and use full names and abbreviations for metric units of measure Measure, compare, add and subtract lengths, mass, volume/capacity and time. Measure perimeter of simple 2D shapes Tell and write the time for analogue clock and 12 and 24 hour clocks Use Roman numerals I to XII Estimate and read time with accuracy to the nearest minute Use vocabulary of time am/pm, noon and midnight Know how many seconds in a minute, minutes in a hour, days in a week, month, year and leap year Calculate durations of time Add/subtract amounts of money to give change, using and p Data Read, interpret and present data using pictograms and bar charts with scales Solve problems using information presented in pictograms, bar charts and tables.

6 End of Year Expectations for Year 4 Read and write numbers to 10,000 Recognise the place value of each digit in a 4 digit number Order and compare numbers up to 10,000 Count in multiples of 2,3,4,5,6,7,8,9,10,25,50,100 and 1000 from a given number Identify 10 or 100 more or less from a given number Round any number to nearest 10 or 100 Read and write negative numbers Order, count forwards and backwards with positive and negative whole numbers through 0 Read Roman numerals to 100 Solve word problems that include negative and large positive numbers Add and subtract including formal written methods Add and subtract numbers mentally including 2 digits Estimate within a range and use inverse to check Recall multiplication and division facts up to 12X12 Multiply or divide 2 digit and 3digit numbers by a 1digit number using formal written methods Recognise and use factor pairs within 144 Solve word problems involving four operations Identify and recognise equivalent fractions Reduce fractions to their simplest form Add and subtract fractions with the same denominator within one whole Compare decimals up to 2 decimal places Find the effect of dividing a 2digit number by 10 and 100 Identify the value as units, tenths and hundredths Recognise and write decimals equivalents to ½, ¼, ¾ and any tenths and hundredths Geometry and Measure Identify lines of symmetry in 2-D shapes presented in different orientations Compare and classify geometric shapes based on their properties and sizes Identify acute and obtuse angles Compare the size of different angles Describe position s, and movement between positions on a 2D grid and as coordinates in the first quadrant Plot points and draw complete sides of a polygon Recognise and complete a symmetric figure with respect to a specific line of symmetry Convert between different units of measure Measure and calculate perimeter Find the area of squares and rectangles and composite shapes Read and convert time between analogue and digital 12 and 24 hour clocks Estimate, compare and calculate different measures, including money Data Read, interpret and solve problems using information in bar graphs, including scales on the axes

7 End of Year Expectations for Year 5 Read, write, order and compare numbers up to 1,000,000 knowing the value of each digit Count forwards and backwards in 100, 1000 or 10,000 from a given number Round numbers to nearest, 10,100,1000,10,000 and 100,000 Estimate answers using the four operations Read Roman numerals to 1000 and recognise years written in Roman numerals Add and subtract whole numbers up to 5digits, including formal written methods Add and subtract mentally using larger numbers Identify common multiples and factors Know and use vocabulary of prime numbers and prime factors Establish whether a number up to 100 is a prime number and recall prime numbers to 19 Multiply numbers up to 4 digits by 1 or 2 digit numbers using formal written methods, including long multiplication Divide numbers up to 4 digits by a 1 digit or 10 including remainders Multiply and divide numbers by 10,100 and 1000 Recognise and use square numbers and square roots and knowing the notation for these Solve word problems using the four operations Compare and order fractions with different denominators Recognise mixed number and improper fractions and convert from one to another Add and subtract fractions with the same denominator that exceed 1 Multiply proper fractions and Geometry and Measure Measure angles in degrees and draw a given angle Know angles are measured in degrees and identify -Right angles and ¼ turn (90 degrees) -Angles at a point on a straight line and ½ turn (180 degrees) -Angles at a point and one whole turn (total 360 degrees) -Reflex angles and compare different angles Recognise and compare different triangles Identify and name parallelogram, rhombus and trapezium Construct shapes from given dimensions Identify 3D shapes from 2D representations Identify, describe and represent the position of a shape following a reflection or translation Use four operations for units of measure using decimal notation Understand and use basic equivalencies between metric and imperial units Measure force in Newtons (N) Calculate, estimate and compare area of squares, rectangles and composite shapes using standard units Recognise volume in practical contexts Data Complete tables and bar graphs from given information Solve problems using data presented in bar graphs, tables and simple pie-charts

8 mixed number fractions by whole numbers Read and write decimals as fractions Recognise and use thousandths and relate to tenths, hundredths and decimal equivalents Read, write and compare numbers with 3 decimal places Add and subtract numbers up to 3 decimal places Recognise per cent symbol Understand per cent relates to number of parts per hundred Write simple fractions as percentages and decimals as percentages

9 End of Year Expectations for Year 6 Read, write and compare numbers up to 10 million and know the value of each digit Round any number to required degree of accuracy Recognise binary numbers up to 15 and convert between binary and decimal numerals Add and subtract negative integers Multiply with at least 4 digits by a 2 digit whole number using long multiplication Divide numbers up to 4 digits by a 2 digit whole number using long division Interpret remainders as whole number remainders, fractions, decimals or by rounding Perform mental calculations including mixed operations and large numbers Use estimation to check answers, determine whether answer should be rounded, or written as a fraction or a decimal Carry out combined operations involving the four operations accurately Solve word problems involving the four operations Add and subtract mixed number and fractions with different denominators Multiply simple unit fractions and pairs of proper fractions, answering in the simplest form Divide proper fractions by whole numbers Identify the value of each Geometry and Measure Compare and classify shapes based on their properties and sizes Find unknown angles in any triangle, square and regular polygon Illustrate and name parts of circles, including radius, diameter and circumference Recognise, describe and build 3D shapes, including nets Describe properties of common 3D shapes and identify parallel planes and symmetries Estimate size of angles Find unknown angles at a point on a straight line, in a triangle, in a quadrilateral and vertically opposite angles Describe positions on the full coordinate grid (four quadrants) Construct, translate and reflect simple shapes on a coordinate plane Use, read, write and convert between standard units of measure and imperial and metric Recognise shapes with same areas can have different perimeters and vice versa Calculate the area of parallelograms and triangles Recognise when its necessary to use a formulae for area and volume of shapes Calculate, estimate and compare volume of cubes and cuboids using standard units Use decimal notation to 3 Data Draw, read and interpret line graphs and use these to solve problems Use and interpret averages including mean, mode and median and solve simple problems using different kinds of averages Use the language associated with probability and use this to describe the likelihood of particular events

10 digit to 3 decimal places Multiply and divide numbers up to 3 decimal places by 10,100 and 1000 Multiply and divide numbers up to 2 decimal places by 1digit and 2digit whole numbers Use percentages for comparison and calculate percentages of whole numbers or measures Recall and use equivalences between fractions, decimals and percentages Use ratios to show relative sizes of two quantities Recognise equivalent ratios and reduce a given ratio to lowest form Recognise and use division in the context of fractions, percentages and ratio Solve linear missing number problems, including those involving decimals and fractions Find pairs of number that satisfy number sentences involving unknown Use simple formulae expressed in words Generate and describe linear number sequences including negative and decimal numbers, and proper fractions decimal places to solve problems involving calculation and conversions of measures